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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
Practice Preview
Mia read
4
7
of a book last week and today she read another
1
10
of the book. What fraction of the book did Mia read so far?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot add fractions until the denominators are same. So, we have to find the least common denominator.
Least Common Denominator (LCD) of 7 and 10 is 70.
Now, we have to make sure both fractions have the same new denominator 70.
You can write fraction
4
7
as
4x10
7x10
=
40
70
You can write fraction
1
10
as
1x7
10x7
=
7
70
Now, both fractions have same denominator and we are ready to add
40
70
+
7
70
=
40+7
70
=
47
70
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